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Nady [450]
3 years ago
9

I WILL GIVE BRAINLIEST!!!

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

C. -4

I hope this helps!

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
Sarah's class went to the science lab for their weekly lab activity. Sarah's group decided that they could complete the lab fast
saw5 [17]

Answer:

To not mess things up. i think

5 0
2 years ago
Read 2 more answers
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total
Fantom [35]

Answer:the number of coach tickets that she bought is 5

the number of first class tickets that she bought is 6

Step-by-step explanation:

Let x represent the number of coach tickets that she bought.

Let y represent the number of first class tickets that she bought.

The total number of people that went for the round trip is 11. This means that

x + y = 11

She was able to purchase coach tickets for ​$340 and first class tickets for ​$1190. She used her total budget for airfare for the​ trip, which was ​$8840. This means that

340x + 1190y = 8840 - - - - - - - 1

Substituting x = 11 - y into equation 1, it becomes

340(11-y) + 1190y = 8840

3740 - 340y + 1190y = 8840

- 340y + 1190y = 8840 - 3740

850y = 5100

y = 5100/850 = 6

x = 11 - y

x = 11 - 6 = 5

4 0
3 years ago
Can you the nearest hundredth to 1.2983?
ozzi
I think so it’s 1.30
3 0
2 years ago
Read 2 more answers
I need help please<br><br><br><br> Ok
sergeinik [125]
What’s the question????
5 0
3 years ago
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